Numerical analysis of multidomain systems: coupled nonlinear PDEs and DAEs with noise

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buir.contributor.authorHanay, Selim
dc.citation.epage1458en_US
dc.citation.issueNumber7en_US
dc.citation.spage1445en_US
dc.citation.volumeNumber37en_US
dc.contributor.authorDemir, A.en_US
dc.contributor.authorHanay, Selimen_US
dc.date.accessioned2019-02-21T16:05:21Z
dc.date.available2019-02-21T16:05:21Z
dc.date.issued2018en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractWe present a numerical modeling and simulation paradigm for multidomain, multiphysics systems with components modeled both in a lumped and distributed manner. The lumped components are modeled with a system of differential-Algebraic equations (DAEs), whereas the possibly nonlinear distributed components that may belong to different physical domains are modeled using partial differential equations (PDEs) with associated boundary conditions. We address a comprehensive suite of problems for nonlinear coupled DAE-PDE systems including 1) transient simulation; 2) periodic steady-state (PSS) analysis formulated as a mixed boundary value problem that is solved with a hierarchical spectral collocation technique based on a joint Fourier-Chebyshev representation, for both forced and autonomous systems; 3) Floquet theory and analysis for coupled linear periodically time-varying DAE-PDE systems; 4) phase noise analysis for multidomain oscillators; and 5) efficient parameter sweeps for PSS and noise analyses based on first-order and pseudo-Arclength continuation schemes. All of these techniques, implemented in a prototype simulator, are applied to a substantial case study: A multidomain feedback oscillator composed of distributed and lumped components in two physical domains, namely, a nano-mechanical beam resonator operating in the nonlinear regime, an electrical delay line, an electronic amplifier and a sensor-Actuator for the transduction between the two physical domains.
dc.identifier.doi10.1109/TCAD.2017.2753699
dc.identifier.issn0278-0070
dc.identifier.urihttp://hdl.handle.net/11693/50247
dc.language.isoEnglish
dc.publisherInstitute of Electrical and Electronics Engineers
dc.relation.isversionofhttps://doi.org/10.1109/TCAD.2017.2753699
dc.source.titleIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systemsen_US
dc.subjectChebyshev and Fourier representations and collocationen_US
dc.subjectDifferential-Algebraic equations (DAEs)en_US
dc.subjectMixed boundary value problemsen_US
dc.subjectMultidomain systemsen_US
dc.subjectMultiphysics simulationen_US
dc.subjectNano electro-mechanical systems (NEMS)en_US
dc.subjectNoiseen_US
dc.subjectOscillatorsen_US
dc.subjectPartial differential equations (PDEs)en_US
dc.subjectPhase noiseen_US
dc.subjectSpectral methodsen_US
dc.titleNumerical analysis of multidomain systems: coupled nonlinear PDEs and DAEs with noiseen_US
dc.typeArticleen_US

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